Matrix algebras of polynomial codimension growth

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Abstract

We study associative algebras with unity of polynomial codimensiongrowth. For any fixed degree $k$ we construct associative algebraswhose codimension sequence has the largest and the smallestpossible polynomial growth of degree $k$. We also explicitlydescribe the identities and the exponential generating functionsof these algebras.
Lingua originaleEnglish
pagine (da-a)367-378
Numero di pagine12
RivistaIsrael Journal of Mathematics
Volume158
Stato di pubblicazionePublished - 2007

All Science Journal Classification (ASJC) codes

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